1959 AHSME Problems/Problem 19
Problem
With the use of three different weights, namely lb.,
lb., and
lb., how many objects of different weights can be weighed, if the objects is to be weighed and the given weights may be placed in either pan of the scale?
Solution
The heaviest object that could be weighed with this set weighs lb., and we can weigh any positive integer weight at most that. This means that
different objects could be weighed, so our answer is
and we are done.
See also
1959 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 18 |
Followed by Problem 20 | |
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